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<a href="particle__sorting_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* -------------------------------------------------------------------------*</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> *                              SPHinXsys                                   *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * --------------------------------------------------------------------------*</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * SPHinXsys (pronunciation: s&#39;finksis) is an acronym from Smoothed Particle    *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * Hydrodynamics for industrial compleX systems. It provides C++ APIs for   *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * physical accurate simulation and aims to model coupled industrial dynamic *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * systems including fluid, solid, multi-body dynamics and beyond with SPH  *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> * (smoothed particle hydrodynamics), a meshless computational method using *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * particle discretization.                                                 *</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> *                                                                          *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> * SPHinXsys is partially funded by German Research Foundation              *</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> * (Deutsche Forschungsgemeinschaft) DFG HU1527/6-1, HU1527/10-1                *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> * and HU1527/12-1.                                                         *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * Portions copyright (c) 2017-2020 Technical University of Munich and      *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> * the authors&#39; affiliations.                                               *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> * Licensed under the Apache License, Version 2.0 (the &quot;License&quot;); you may   *</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> * not use this file except in compliance with the License. You may obtain a *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> * copy of the License at http://www.apache.org/licenses/LICENSE-2.0.        *</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> * --------------------------------------------------------------------------*/</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#ifndef PARTICLE_SORTING_H</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#define PARTICLE_SORTING_H</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &quot;base_data_package.h&quot;</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sph__data__containers_8h.html">sph_data_containers.h</a>&quot;</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="base__particles_8h.html">base_particles.h</a>&quot;</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="namespacetbb.html">   38</a></span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacetbb.html">tbb</a></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;{</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">namespace </span>interafce9</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    {</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keyword">namespace </span>internal</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        {</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#ifdef TBB_2021_2_0</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            <span class="keyword">using</span> tbb::detail::no_assign;</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#else</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            <span class="keyword">using</span> tbb::internal::no_assign;</div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#endif</span></div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <span class="keyword">template</span> &lt;<span class="keyword">typename</span> RandomAccessIterator, <span class="keyword">typename</span> Compare, <span class="keyword">typename</span> SwapType&gt;</div><div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">   53</a></span>&#160;            <span class="keyword">class </span><a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">QuickSortParticleRange</a> : <span class="keyword">private</span> no_assign</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            {</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                <span class="keyword">inline</span> <span class="keywordtype">size_t</span> median_of_three(<span class="keyword">const</span> RandomAccessIterator &amp;array, <span class="keywordtype">size_t</span> l, <span class="keywordtype">size_t</span> m, <span class="keywordtype">size_t</span> r)<span class="keyword"> const</span></div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="keyword">                </span>{</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                    <span class="keywordflow">return</span> comp_(array[l], array[m]) ? (comp_(array[m], array[r]) ? m : (comp_(array[l], array[r]) ? r : l))</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                                                     : (comp_(array[r], array[m]) ? m : (comp_(array[r], array[l]) ? r : l));</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                }</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                <span class="keyword">inline</span> <span class="keywordtype">size_t</span> PseudoMedianOfNine(<span class="keyword">const</span> RandomAccessIterator &amp;array, <span class="keyword">const</span> <a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">QuickSortParticleRange</a> &amp;range)<span class="keyword"> const</span></div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="keyword">                </span>{</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                    <span class="keywordtype">size_t</span> offset = range.size_ / 8u;</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                    <span class="keywordflow">return</span> median_of_three(array,</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                                           median_of_three(array, 0, offset, offset * 2),</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                                           median_of_three(array, offset * 3, offset * 4, offset * 5),</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                                           median_of_three(array, offset * 6, offset * 7, range.size_ - 1));</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                }</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                <span class="keywordtype">size_t</span> splitRange(<a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">QuickSortParticleRange</a> &amp;range)</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                {</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                    RandomAccessIterator array = range.begin_;</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                    RandomAccessIterator key0 = range.begin_;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                    <span class="keywordtype">size_t</span> m = PseudoMedianOfNine(array, range);</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                    <span class="keywordflow">if</span> (m)</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                        swap_sortable_particle_data_(array, array + m);</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                    <span class="keywordtype">size_t</span> i = 0;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                    <span class="keywordtype">size_t</span> j = range.size_;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                    <span class="comment">// Partition interval [i+1,j-1] with key *key0.</span></div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    <span class="keywordflow">for</span> (;;)</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    {</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                        __TBB_ASSERT(i &lt; j, <span class="keyword">nullptr</span>);</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                        <span class="comment">// Loop must terminate since array[l]==*key0.</span></div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                        <span class="keywordflow">do</span></div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                        {</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                            --j;</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                            __TBB_ASSERT(i &lt;= j, <span class="stringliteral">&quot;bad ordering relation?&quot;</span>);</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                        } <span class="keywordflow">while</span> (comp_(*key0, array[j]));</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                        <span class="keywordflow">do</span></div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                        {</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                            __TBB_ASSERT(i &lt;= j, <span class="keyword">nullptr</span>);</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                            <span class="keywordflow">if</span> (i == j)</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                                <span class="keywordflow">goto</span> quick_sort_particle_partition;</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                            ++i;</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                        } <span class="keywordflow">while</span> (comp_(array[i], *key0));</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                        <span class="keywordflow">if</span> (i == j)</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                            <span class="keywordflow">goto</span> quick_sort_particle_partition;</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                        swap_sortable_particle_data_(array + i, array + j);</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                    }</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                quick_sort_particle_partition:</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                    <span class="comment">// Put the partition key were it belongs</span></div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                    swap_sortable_particle_data_(array + j, key0);</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                    <span class="comment">// array[l..j) is less or equal to key.</span></div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                    <span class="comment">// array(j..r) is greater or equal to key.</span></div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                    <span class="comment">// array[j] is equal to key</span></div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                    i = j + 1;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                    <span class="keywordtype">size_t</span> new_range_size = range.size_ - i;</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                    range.size_ = j;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                    <span class="keywordflow">return</span> new_range_size;</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                }</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            <span class="keyword">public</span>:</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> grainsize_ = 500;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                <span class="keyword">const</span> Compare &amp;comp_;</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                SwapType &amp;swap_sortable_particle_data_;</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                <span class="keywordtype">size_t</span> size_;</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                RandomAccessIterator begin_;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                <a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">QuickSortParticleRange</a>(RandomAccessIterator begin,</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                       <span class="keywordtype">size_t</span> size, <span class="keyword">const</span> Compare &amp;compare, SwapType &amp;swap_particle_data)</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                    : comp_(compare), swap_sortable_particle_data_(swap_particle_data),</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                      size_(size), begin_(begin) {}</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                <span class="keywordtype">bool</span> empty()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> size_ == 0; }</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                <span class="keywordtype">bool</span> is_divisible()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> size_ &gt;= grainsize_; }</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                <a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">QuickSortParticleRange</a>(<a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">QuickSortParticleRange</a> &amp;range, split)</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                    : comp_(range.comp_), swap_sortable_particle_data_(range.swap_sortable_particle_data_), size_(splitRange(range))</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                      <span class="comment">// +1 accounts for the pivot element, which is at its correct place</span></div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                      <span class="comment">// already and, therefore, is not included into subranges.</span></div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                      ,</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                      begin_(range.begin_ + range.size_ + 1)</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                {</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                }</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            };</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            <span class="comment">/*</span></div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="comment">            Description : QuickSort in Iterator format</span></div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="comment">            Link        : https://stackoverflow.com/a/54976413/3547485</span></div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="comment">            Ref         : http://www.cs.fsu.edu/~lacher/courses/COP4531/lectures/sorts/slide09.html</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="comment">            */</span></div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            <span class="keyword">template</span> &lt;<span class="keyword">typename</span> RandomAccessIterator, <span class="keyword">typename</span> Compare, <span class="keyword">typename</span> SwapType&gt;</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            RandomAccessIterator Partition(RandomAccessIterator first, RandomAccessIterator last, Compare &amp;compare, SwapType &amp;swap_particle_data)</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;            {</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                <span class="keyword">auto</span> pivot = std::prev(last, 1);</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;                <span class="keyword">auto</span> i = first;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                <span class="keywordflow">for</span> (<span class="keyword">auto</span> j = first; j != pivot; ++j)</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                {</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                    <span class="comment">// bool format</span></div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                    <span class="keywordflow">if</span> (compare(*j, *pivot))</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                    {</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                        swap_particle_data(i++, j);</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                    }</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                }</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                swap_particle_data(i, pivot);</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                <span class="keywordflow">return</span> i;</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            }</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            <span class="keyword">template</span> &lt;<span class="keyword">typename</span> RandomAccessIterator, <span class="keyword">typename</span> Compare, <span class="keyword">typename</span> SwapType&gt;</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            <span class="keywordtype">void</span> SerialQuickSort(RandomAccessIterator first, RandomAccessIterator last, Compare &amp;compare, SwapType &amp;swap_particle_data)</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            {</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;                <span class="keywordflow">if</span> (std::distance(first, last) &gt; 1)</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;                {</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                    RandomAccessIterator bound = Partition(first, last, compare, swap_particle_data);</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                    SerialQuickSort(first, bound, compare, swap_particle_data);</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;                    SerialQuickSort(bound + 1, last, compare, swap_particle_data);</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;                }</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;            }</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            <span class="comment">/*</span></div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="comment">            Description : Insertsort in Iterator format</span></div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="comment">            Link        : http://www.codecodex.com/wiki/Insertion_sort</span></div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="comment">            */</span></div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;            <span class="keyword">template</span> &lt;<span class="keyword">typename</span> RandomAccessIterator, <span class="keyword">typename</span> Compare, <span class="keyword">typename</span> SwapType&gt;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;            <span class="keywordtype">void</span> InsertionSort(RandomAccessIterator First, RandomAccessIterator Last, Compare &amp;compare, SwapType &amp;swap_particle_data)</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            {</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;                RandomAccessIterator min = First;</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                <span class="keywordflow">for</span> (RandomAccessIterator i = First + 1; i &lt; Last; ++i)</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                    <span class="keywordflow">if</span> (compare(*i, *min))</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                        min = i;</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;                swap_particle_data(First, min);</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;                <span class="keywordflow">while</span> (++First &lt; Last)</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                    <span class="keywordflow">for</span> (RandomAccessIterator j = First; compare(*j, *(j - 1)); --j)</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                        swap_particle_data((j - 1), j);</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            }</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160; 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                   SerialQuickSort(range.begin_, range.begin_ + range.size_, range.comp_, range.swap_sortable_particle_data_);</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;                }</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;            };</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div><div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        }</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    }</div><div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;}</div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_s_p_h.html">SPH</a></div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;{</div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160; 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           constexpr <span class="keywordtype">int</span> type_index = <a class="code" href="struct_s_p_h_1_1_data_type_index.html">DataTypeIndex&lt;VariableType&gt;::value</a>;</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            StdVec&lt;StdLargeVec&lt;VariableType&gt; *&gt; variables = std::get&lt;type_index&gt;(particle_data);</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i != variables.size(); ++i)</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;            {</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;                StdLargeVec&lt;VariableType&gt; &amp;variable = *variables[i];</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;                std::swap(variable[index_a], variable[index_b]);</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;            }</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;        };</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;    };</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div><div class="line"><a name="l00231"></a><span class="lineno"><a class="line" href="struct_s_p_h_1_1_compare_particle_sequence.html">  231</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="struct_s_p_h_1_1_compare_particle_sequence.html">CompareParticleSequence</a></div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    {</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;        <span class="keywordtype">bool</span> operator()(<span class="keyword">const</span> <span class="keywordtype">size_t</span> &amp;x, <span class="keyword">const</span> <span class="keywordtype">size_t</span> &amp;y)<span class="keyword"> const</span></div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;<span class="keyword">        </span>{</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160; 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       StdLargeVec&lt;size_t&gt; &amp;unsorted_id_;</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        <a class="code" href="namespace_s_p_h.html#a5b64e4def11be4e4b77d1f2768fd56b1">ParticleData</a> &amp;sortable_data_;</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        <a class="code" href="struct_s_p_h_1_1_data_assemble_operation.html">DataAssembleOperation&lt;swapParticleDataValue&gt;</a> swap_particle_data_value_;</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;    <span class="keyword">public</span>:</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;        <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1_swap_sortable_particle_data.html">SwapSortableParticleData</a>(<a class="code" href="class_s_p_h_1_1_base_particles.html">BaseParticles</a> *base_particles);</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160; 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       <a class="code" href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">tbb::interafce9::internal::QuickSortParticleRange</a>&lt;</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;            <span class="keywordtype">size_t</span> *, <a class="code" href="struct_s_p_h_1_1_compare_particle_sequence.html">CompareParticleSequence</a>, <a class="code" href="class_s_p_h_1_1_swap_sortable_particle_data.html">SwapSortableParticleData</a>&gt; *quick_sort_particle_range_;</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        <a class="code" href="structtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_body.html">tbb::interafce9::internal::QuickSortParticleBody</a>&lt;</div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;            <span class="keywordtype">size_t</span> *, <a class="code" href="struct_s_p_h_1_1_compare_particle_sequence.html">CompareParticleSequence</a>, <a class="code" href="class_s_p_h_1_1_swap_sortable_particle_data.html">SwapSortableParticleData</a>&gt;</div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;            quick_sort_particle_body_;</div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;</div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    <span class="keyword">public</span>:</div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;        <span class="comment">// the construction is before particles</span></div><div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <span class="keyword">explicit</span> <a class="code" href="class_s_p_h_1_1_particle_sorting.html">ParticleSorting</a>(<a class="code" href="class_s_p_h_1_1_real_body.html">RealBody</a> *real_body);</div><div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="keyword">virtual</span> ~<a class="code" href="class_s_p_h_1_1_particle_sorting.html">ParticleSorting</a>(){};</div><div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;</div><div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;        <span class="keywordtype">void</span> assignBaseParticles(<a class="code" href="class_s_p_h_1_1_base_particles.html">BaseParticles</a> *base_particles);</div><div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;        <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1_particle_sorting.html#afd14478cd0dedc753ac97c1ee6a6403b">sortingParticleData</a>(<span class="keywordtype">size_t</span> *begin, <span class="keywordtype">size_t</span> size);</div><div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;        <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="class_s_p_h_1_1_particle_sorting.html#a659594e1802d1063a4b7a4f1043511e2">updateSortedId</a>();</div><div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;    };</div><div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;}</div><div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;<span class="preprocessor">#endif // PARTICLE_SORTING_H</span></div><div class="ttc" id="class_s_p_h_1_1_base_particles_html"><div class="ttname"><a href="class_s_p_h_1_1_base_particles.html">SPH::BaseParticles</a></div><div class="ttdoc">Particles with essential (geometric and kinematic) data. There are three types of particles， all par...</div><div class="ttdef"><b>Definition:</b> base_particles.h:81</div></div>
<div class="ttc" id="class_s_p_h_1_1_swap_sortable_particle_data_html"><div class="ttname"><a href="class_s_p_h_1_1_swap_sortable_particle_data.html">SPH::SwapSortableParticleData</a></div><div class="ttdoc">swap sortable particle data according to a sequence </div><div class="ttdef"><b>Definition:</b> particle_sorting.h:243</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_sorting_html_afd14478cd0dedc753ac97c1ee6a6403b"><div class="ttname"><a href="class_s_p_h_1_1_particle_sorting.html#afd14478cd0dedc753ac97c1ee6a6403b">SPH::ParticleSorting::sortingParticleData</a></div><div class="ttdeci">virtual void sortingParticleData(size_t *begin, size_t size)</div><div class="ttdef"><b>Definition:</b> particle_sorting.cpp:34</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_sorting_html_a659594e1802d1063a4b7a4f1043511e2"><div class="ttname"><a href="class_s_p_h_1_1_particle_sorting.html#a659594e1802d1063a4b7a4f1043511e2">SPH::ParticleSorting::updateSortedId</a></div><div class="ttdeci">virtual void updateSortedId()</div><div class="ttdef"><b>Definition:</b> particle_sorting.cpp:42</div></div>
<div class="ttc" id="namespace_s_p_h_html_a5b64e4def11be4e4b77d1f2768fd56b1"><div class="ttname"><a href="namespace_s_p_h.html#a5b64e4def11be4e4b77d1f2768fd56b1">SPH::ParticleData</a></div><div class="ttdeci">GeneralDataAssemble&lt; StdLargeVec &gt; ParticleData</div><div class="ttdef"><b>Definition:</b> sph_data_containers.h:59</div></div>
<div class="ttc" id="struct_s_p_h_1_1_data_assemble_operation_html"><div class="ttname"><a href="struct_s_p_h_1_1_data_assemble_operation.html">SPH::DataAssembleOperation</a></div><div class="ttdef"><b>Definition:</b> base_data_package.h:46</div></div>
<div class="ttc" id="class_s_p_h_1_1_swap_sortable_particle_data_html_acbabc16cfe3da1d36c7f55a24599d17b"><div class="ttname"><a href="class_s_p_h_1_1_swap_sortable_particle_data.html#acbabc16cfe3da1d36c7f55a24599d17b">SPH::SwapSortableParticleData::operator()</a></div><div class="ttdeci">void operator()(size_t *a, size_t *b)</div><div class="ttdef"><b>Definition:</b> particle_sorting.cpp:20</div></div>
<div class="ttc" id="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range_html"><div class="ttname"><a href="classtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_range.html">tbb::interafce9::internal::QuickSortParticleRange</a></div><div class="ttdef"><b>Definition:</b> particle_sorting.h:53</div></div>
<div class="ttc" id="class_s_p_h_1_1_unique_ptr_keeper_html"><div class="ttname"><a href="class_s_p_h_1_1_unique_ptr_keeper.html">SPH::UniquePtrKeeper</a></div><div class="ttdoc">A wrapper to provide an ownership for a new derived object which previous often generated by new a ra...</div><div class="ttdef"><b>Definition:</b> ownership.h:90</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_sorting_html"><div class="ttname"><a href="class_s_p_h_1_1_particle_sorting.html">SPH::ParticleSorting</a></div><div class="ttdoc">The class for sorting particle according a given sequence. </div><div class="ttdef"><b>Definition:</b> particle_sorting.h:265</div></div>
<div class="ttc" id="structtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_body_html"><div class="ttname"><a href="structtbb_1_1interafce9_1_1internal_1_1_quick_sort_particle_body.html">tbb::interafce9::internal::QuickSortParticleBody</a></div><div class="ttdef"><b>Definition:</b> particle_sorting.h:193</div></div>
<div class="ttc" id="class_s_p_h_1_1_particle_sorting_html_af62e0fa6386a5cdfe60e576feb42ba56"><div class="ttname"><a href="class_s_p_h_1_1_particle_sorting.html#af62e0fa6386a5cdfe60e576feb42ba56">SPH::ParticleSorting::swap_sortable_particle_data_</a></div><div class="ttdeci">SwapSortableParticleData * swap_sortable_particle_data_</div><div class="ttdef"><b>Definition:</b> particle_sorting.h:277</div></div>
<div class="ttc" id="base__particles_8h_html"><div class="ttname"><a href="base__particles_8h.html">base_particles.h</a></div><div class="ttdoc">This is the base class of SPH particles. The basic data of the particles is saved in separated large ...</div></div>
<div class="ttc" id="sph__data__containers_8h_html"><div class="ttname"><a href="sph__data__containers_8h.html">sph_data_containers.h</a></div><div class="ttdoc">Set up of basic data structure. </div></div>
<div class="ttc" id="namespacetbb_html"><div class="ttname"><a href="namespacetbb.html">tbb</a></div><div class="ttdef"><b>Definition:</b> particle_sorting.h:38</div></div>
<div class="ttc" id="struct_s_p_h_1_1_data_type_index_html"><div class="ttname"><a href="struct_s_p_h_1_1_data_type_index.html">SPH::DataTypeIndex</a></div><div class="ttdef"><b>Definition:</b> base_data_type.h:320</div></div>
<div class="ttc" id="struct_s_p_h_1_1_compare_particle_sequence_html"><div class="ttname"><a href="struct_s_p_h_1_1_compare_particle_sequence.html">SPH::CompareParticleSequence</a></div><div class="ttdoc">compare the sequence of two particles </div><div class="ttdef"><b>Definition:</b> particle_sorting.h:231</div></div>
<div class="ttc" id="class_s_p_h_1_1_real_body_html"><div class="ttname"><a href="class_s_p_h_1_1_real_body.html">SPH::RealBody</a></div><div class="ttdoc">Derived body with inner particle configuration or inner interactions. After construction, the particle and material must be specified. </div><div class="ttdef"><b>Definition:</b> base_body.h:182</div></div>
<div class="ttc" id="struct_s_p_h_1_1swap_particle_data_value_html"><div class="ttname"><a href="struct_s_p_h_1_1swap_particle_data_value.html">SPH::swapParticleDataValue</a></div><div class="ttdef"><b>Definition:</b> particle_sorting.h:212</div></div>
<div class="ttc" id="namespace_s_p_h_html"><div class="ttname"><a href="namespace_s_p_h.html">SPH</a></div><div class="ttdef"><b>Definition:</b> solid_body_supplementary.cpp:9</div></div>
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